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Finding the Fourth Proportional to 12,245.57, 16,875.19 and 8,259.76

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Solution

The fourth proportional to 12,245.57, 16,875.19 and 8,259.76 is: 11,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.57 : 16,875.19 = 8,259.76 : x
  2. Step 2: Convert to fraction form
    12,245.57/16,875.19 = 8,259.76/x
  3. Step 3: Cross multiply
    12,245.57x = 16,875.19 × 8,259.76
  4. Step 4: Simplify right side
    12,245.57x = 139,385,019.35
  5. Step 5: Solve for x
    x = 139,385,019.35/12,245.57
  6. Step 6: Final answer
    x = 11,382.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.